We conclude the discussion of our numerical results by focusing on the correlation between the strange to nonstrange PDF ratio \(R_s\)  and the strange to kaon fragmentation function \(D_{\bar{s}}^{K^+}\) .
In Fig. REF  we show \(R_s\)  and the \(\bar{s}\rightarrow K^+\)  FF, with individual Monte Carlo samples color coded by the scaled \(\chi ^2_{\rm red}\)  intensity (with darker replicas indicating higher likelihoods) computed for the specific cases of SIA (\(K^\pm \) ) and SIDIS (\(K^+, K^-\) ) datasets.
The SIA datasets have a clear preference for a smaller \(R_s\)  and enhanced \(D_{\bar{s}}^{K^+}\) , as was found in the previous JAM19 analysis [1]}.
Interestingly, the SIDIS (\(K^+, K^-\) ) data, which have smaller \(\chi ^2_{\rm red}\) , have a slight tendency to favor solutions with a larger \(R_s\)  and smaller \(D_{\bar{s}}^{K^+}\) , however, this preference is much weaker than the preference of the SIA data for smaller \(R_s\)  values.
